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Finding the Fourth Proportional to 274,752.37, 412,281.65 and 148,389.94

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Solution

The fourth proportional to 274,752.37, 412,281.65 and 148,389.94 is: 222,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752.37 : 412,281.65 = 148,389.94 : x
  2. Step 2: Convert to fraction form
    274,752.37/412,281.65 = 148,389.94/x
  3. Step 3: Cross multiply
    274,752.37x = 412,281.65 × 148,389.94
  4. Step 4: Simplify right side
    274,752.37x = 61,178,449,306.60
  5. Step 5: Solve for x
    x = 61,178,449,306.60/274,752.37
  6. Step 6: Final answer
    x = 222,667.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.